Hiding Password Protected Content

Hello All…

I only know enough about WP to be dangerous :o)

I have a page password protected and the part of it works well enough. However…I also have a search feature on the site and when you search for something that can be found on the password protected page, it comes up in all its glory! The content will also come up on a browser search! Not very protected, IMO.

What can I do to truly make the content PRIVATE to only those with the password to login?

Thanks in advance…